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4 years ago

Can someone help me with this question please

Mathematics

2 answers:

melamori03 [73]4 years ago

4 0

Answer:

6 m and 18 m

Step-by-step explanation:

There are 2 similar triangles in the diagram

lamppost/ lamppost's shadow/ line from end of shadow to top of lamppost

Nick/ Nick's shadow/ line from end of shadow to top of Nick

Therefore the ratios of corresponding sides are equal.

Note the shadow of the lamppost = 12 + x, thus

$\frac{6}{2}$ = $\frac{12+x}{x}$ ( cross- multiply )

6x = 2(12 + x) = 24 + 2x ( subtract2x from both sides )

4x = 24 ( divide both sides by 4 )

x = 6

Thus

Nick's shadow is 6 m long

Lamppost's shadow is 12 + 6 = 18 m long

Monica [59]4 years ago

3 0

Answer:

3 or 4

Step-by-step explanation:

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